65 citations · 100 across the 24 of their papers we have counts for
25 papers
Rényi Divergences in Central Limit Theorems: Old and New
S. G. Bobkov, G. P. Chistyakov, F. Götze
We give an overview of various results and methods related to information-theoretic distances of Rényi type in the light of their applications to the central limit theorem (CLT). T…
Asymptotic Expansions and two-sided Bounds in Randomized Central Limit Theorems
S. G. Bobkov, G. P. Chistyakov, F. Götze
Lower and upper bounds are explored for the uniform (Kolmogorov) and -distances between the distributions of weighted sums of dependent summands and the normal law. The result…
Strictly subgaussian probability distributions
S. G. Bobkov, G. P. Chistyakov, F. Götze
We explore the class of probability distributions on the real line whose Laplace transform admits a strong upper bound of subgaussian type. Using Hadamard's factorization theorem,…
Richter's local limit theorem,its refinement,and related results
Sergey Bobkov, Gennadiy Chistyakov, Friedrich Götze
We give a detailed exposition of the proof of Richter's local limit theorem in a refined form, and establish the stability of the remainder term in this theorem under small perturb…
Poincaré Inequalities and Normal Approximation for Weighted Sums
S. G. Bobkov, G. P. Chistyakov, F. Götze
Under Poincaré-type conditions, upper bounds are explored for the Kolmogorov distance between the distributions of weighted sums of dependent summands and the normal law. Based on…
Approximation of free convolutions by free infinitely divisible laws
G. P. Chistyakov, F. Götze
Based on the~method of subordinating functions we prove bounds for the minimal error of approximations of -fold convolutions of probability measures by free infinitely divisible…